105523013 has 2 divisors, whose sum is σ = 105523014. Its totient is φ = 105523012.

The previous prime is 105523007. The next prime is 105523021. The reversal of 105523013 is 310325501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105308644 + 214369 = 10262^2 + 463^2 .

It is an emirp because it is prime and its reverse (310325501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105523013 - 2²² = 101328709 is a prime.

It is a super-2 number, since 2×105523013² = 22270212545196338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105523073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761506 + 52761507.

It is an arithmetic number, because the mean of its divisors is an integer number (52761507).

Almost surely, 2^105523013 is an apocalyptic number.

It is an amenable number.

105523013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105523013 is an equidigital number, since it uses as much as digits as its factorization.

105523013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 105523013 is about 10272.4394863148. The cubic root of 105523013 is about 472.5514074877.

Adding to 105523013 its reverse (310325501), we get a palindrome (415848514).

The spelling of 105523013 in words is "one hundred five million, five hundred twenty-three thousand, thirteen".